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Finding the Fourth Proportional to 294.27, 405.26 and 293.36

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Solution

The fourth proportional to 294.27, 405.26 and 293.36 is: 404.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.27 : 405.26 = 293.36 : x
  2. Step 2: Convert to fraction form
    294.27/405.26 = 293.36/x
  3. Step 3: Cross multiply
    294.27x = 405.26 × 293.36
  4. Step 4: Simplify right side
    294.27x = 118,887.07
  5. Step 5: Solve for x
    x = 118,887.07/294.27
  6. Step 6: Final answer
    x = 404.01

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.